• 제목/요약/키워드: Optimal sample size

검색결과 171건 처리시간 0.021초

GENERALIZING THE REFINED PICKANDS ESTIMATOR OF THE EXTREME VALUE INDEX

  • Yun, Seok-Hoon
    • Journal of the Korean Statistical Society
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    • 제33권3호
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    • pp.339-351
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    • 2004
  • In this paper we generalize and improve the refined Pickands estimator of Drees (1995) for the extreme value index. The finite-sample performance of the refined Pickands estimator is not good particularly when the sample size n is small. For each fixed k = 1,2,..., a new estimator is defined by a convex combination of k different generalized Pickands estimators and its asymptotic normality is established. Optimal weights defining the estimator are also determined to minimize the asymptotic variance of the estimator. Finally, letting k depend upon n, we see that the resulting estimator has a better finite-sample behavior as well as a better asymptotic efficiency than the refined Pickands estimator.

A Modified Single Sampling Plan for the Inspection of Attribute Quality Characteristics

  • Subramani, J.;Balamurali, S.
    • Industrial Engineering and Management Systems
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    • 제15권1호
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    • pp.41-48
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    • 2016
  • In this manuscript, a modified single sampling plan is proposed for the inspection of products in which the nonconforming items can be classified in to two categories namely critical and non-critical; and explained with the help of industrial example. The operating procedure of this plan is also proposed and the performance measures such as the probability of acceptance, average sample number, average total inspection and average out going quality are also derived. The optimal parameters are determined which will have minimum sample size. The efficiency of the proposed plan is also discussed over the conventional single sampling plan. The extensive tables for selecting a modified single sampling plan based on AQL and LQL are provided for both Binomial and Poisson distributions and explained with the help of industrial data.

초소형 전자칼럼의 대면적 주사 적정조건 (The Optimal Condition for Scanning Large Area with a Micro-electron-column)

  • 박성순;김호섭;장원권
    • 한국전기전자재료학회논문지
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    • 제20권6호
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    • pp.481-486
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    • 2007
  • In large area scanning with a micro-electron-column, the operating condition for the best resolution was investigated in factors of working distance and field of view. The resolution of a test sample was dependent on electron beam energy and scanning field size. The best resolution with single deflector was obtained at 300 V and 30 mm in the electron emitting tip voltage and a working distance, respectively. The scanning area at that condition was $13.9{\times}13.9mm^2$, linearly increased with the working distance. Double deflector was employed for larger scanning size without increasing working distance, but showed only 1.7 times larger than that of single deflector, and the resolution was inverse proportional to the scanning size.

최적 관측중단시간을 고려한 가속수명시험 설계 (Accelerated life test plans with optimum censoring time)

  • 강창원;강창욱
    • 산업경영시스템학회지
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    • 제19권40호
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    • pp.179-186
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    • 1996
  • Previous researches on optimum ALT plans have shown how to find optimum allocation, lowest stress and sample size subject to minimizing the variance of mean life estimate. Those researches have assumed the censoring time constant. But under certain circumstances such assumptions may not be reasonable. In this paper the constraint on constant censoring time is relaxed, and censoring time is considered variable. If all other test parameters remain unvaried, the variance of the mean life estimate reciprocally increases of the censoring time. This idea in this paper extends to the optimum censoring time. Thus, this paper presents the optimal censoring time in such situations, and finds the optimal lowest stress and allocation based on that optimal censoring time.

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Optimal Rates of Convergence in Tensor Sobolev Space Regression

  • Koo, Ja-Yong
    • Journal of the Korean Statistical Society
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    • 제21권2호
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    • pp.153-166
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    • 1992
  • Consider an unknown regression function f of the response Y on a d-dimensional measurement variable X. It is assumed that f belongs to a tensor Sobolev space. Let T denote a differential operator. Let $\hat{T}_n$ denote an estimator of T(f) based on a random sample of size n from the distribution of (X, Y), and let $\Vert \hat{T}_n - T(f) \Vert_2$ be the usual $L_2$ norm of the restriction of $\hat{T}_n - T(f)$ to a subset of $R^d$. Under appropriate regularity conditions, the optimal rate of convergence for $\Vert \hat{T}_n - T(f) \Vert_2$ is discussed.

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분산 컴퓨터 시스템에서 파일 할당에 관한 연구 (A Study on the File Allocation in Distributed Computer Systems)

  • 홍진표;임재택
    • 대한전자공학회논문지
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    • 제27권4호
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    • pp.571-579
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    • 1990
  • A dynamic relocation algorithm for non-deterministic process graph in distributed computer systems is proposed. A method is represented for determining the optimal policy for processing a process tree. A general database query request is modelled by a process tree which represent a set of subprocesses together with their precedence relationship. The process allocation model is based on operating cost which is a function fo selection of site for processing operation, data reduction function and file size. By using expected values of parameters for non-deterministic process tree, the process graph and optimal policy that yield minimum operating cost are determined. As process is relocated according to threshold value and new information of parameters after the execution of low level process for non-deterministic process graph, the assigned state that approximate to optiaml solution is obtained. The proposed algorihtm is heuristic By performing algorithm for sample problems, it is shown that the proposed algorithm is good in obtaining optimal solution.

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AFM 시스템을 위한 XYZ 3축 스테이지의 설계 (The design of XYZ 3-axis stage for AFM system)

  • 김동민;김기현;심종엽;권대갑;엄천일
    • 한국결정학회:학술대회논문집
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    • 한국결정학회 2002년도 정기총회 및 추계학술연구발표회
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    • pp.36-36
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    • 2002
  • To Establish of standard technique of length measurent in 2D plane, we develope AFM system. The XY scanner scans the sample only in XY plane, while the Z scanner scans the specimen only in Z-direction. Cantilever tip is controlled to has constant height relative to speciman surface by feedback of PSPD signal. To acquire high accuracy, Z-axis measuring sensor will be added.(COXI or others). In this paper we design XYZ stage suitable for this AEM system. For XY stage, single module parallel-kinnematic flexure stage is used which has high orthogonality and minimum out-of-plane motion. To obtain best performance optimal design is performed. For XY stage, to be robust about parasitic motion optimal design of maximizing Z and tilt stiffness is performed under the constraint of motion range and stage size. And for Z stage, optimal design of maximizing 1st resonant frequency is performed. Because if resonant frequency is get higher, scan speed is improved. So it makes reduce the error by sensor drift. Resultly XYZ stage each have 1st natural frequency of 115㎐, 201㎐, 2.66㎑ and range 109㎛, 110㎛, 12㎛.

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Effects of Latin hypercube sampling on surrogate modeling and optimization

  • Afzal, Arshad;Kim, Kwang-Yong;Seo, Jae-won
    • International Journal of Fluid Machinery and Systems
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    • 제10권3호
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    • pp.240-253
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    • 2017
  • Latin hypercube sampling is widely used design-of-experiment technique to select design points for simulation which are then used to construct a surrogate model. The exploration/exploitation properties of surrogate models depend on the size and distribution of design points in the chosen design space. The present study aimed at evaluating the performance characteristics of various surrogate models depending on the Latin hypercube sampling (LHS) procedure (sample size and spatial distribution) for a diverse set of optimization problems. The analysis was carried out for two types of problems: (1) thermal-fluid design problems (optimizations of convergent-divergent micromixer coupled with pulsatile flow and boot-shaped ribs), and (2) analytical test functions (six-hump camel back, Branin-Hoo, Hartman 3, and Hartman 6 functions). The three surrogate models, namely, response surface approximation, Kriging, and radial basis neural networks were tested. The important findings are illustrated using Box-plots. The surrogate models were analyzed in terms of global exploration (accuracy over the domain space) and local exploitation (ease of finding the global optimum point). Radial basis neural networks showed the best overall performance in global exploration characteristics as well as tendency to find the approximate optimal solution for the majority of tested problems. To build a surrogate model, it is recommended to use an initial sample size equal to 15 times the number of design variables. The study will provide useful guidelines on the effect of initial sample size and distribution on surrogate construction and subsequent optimization using LHS sampling plan.

아산만 저어류 I. 적정 채집 방법 (The Demersal Fishes of Asan Bay -I. Optimal Sample Size-)

  • 이태원
    • 한국수산과학회지
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    • 제24권4호
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    • pp.248-254
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    • 1991
  • 1990년 8월 아산만에서 otter trawl을 이용하여 저어류를 채집하여 정점을 대표할 수 있는 저어류 군집 자료수집 방법을 추정하였다. 조사기간 중 총 17종, 957개체, 21,840g의 어류가 채집되었으며, 참서대 (Cynoglossus joyneri), 곤어리 (Thrissa koreana), 쥐노래미 (Hexagrammos otakii)와 민태 (Johnius belengerii)가 출현 빈도도 높고 개체수와 생체량에서 우점하였다. 주야 10회 반복 채집결과 종조성은 주야에 따라 유의한 차이를 보이지 않았으나, otter trawl 20분 예인의 개체수 자료는 우점종의 경우는 평균에 대하여 $2.2-385.1\%$, 전어종은 $52.2-162.0\%$의 넓은 변이를 보였다 채집면적을 늘려 갔을 때 누적종수는 예인 4회 자료 누적 이후에는 증가가 둔화되었고 종다양성지수는 3회 이후 거의 점관선에 도달하였다. 개체수의 평균에 대한 분산은 자료를 누적시켰을 때 감소하여 4회 이후에는 자료가 Poisson 분포 양상을 보였다. Otter trawl을 이용하여 아산만 저어류를 채집할 때 20분 예인 4회 이상의 자료를 합하면 정성, 정량적으로 한 조사정점을 대표할 수 있는 것으로 판단된다.

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제약조건 처리기법에 따른 하모니써치 알고리즘의 효율성 평가 : 관로 최소비용설계 문제의 적용 (Efficiency Evaluation of Harmony Search Algorithm according to Constraint Handling Techniques : Application to Optimal Pipe Size Design Problem)

  • 유도근;이호민;이의훈;김중훈
    • 한국산학기술학회논문지
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    • 제16권7호
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    • pp.4999-5008
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    • 2015
  • 제약조건이 있는 공학 최적화 문제에서 보다 좋은 결과를 얻기 위해서는 효율적인 제약조건 처리기법의 적용은 필수적이다. 본 연구에서는 네 가지의 제약조건 처리기법을 적용하여 메타휴리스틱 최적화 기법으로 널리 사용되고 있는 Harmony Search 알고리즘의 최적화 효율성을 평가하였다. 평가를 위해 대표적인 이산형 최적화 문제 중 하나인 상수관로 최소비용설계 문제를 적용하였다. 적용결과 전통적인 제약조건 처리방법으로 사용되던 벌칙함수에 비해 제안된 제약조건 처리기법의 결과가 효율적임을 확인하였다. 특히, ${\varepsilon}$-Constrained Method의 경우 기존방법에 비하여 효율적이고 안정적인 결과를 도출하였다. 제안된 방법은 새로운 최적화 알고리즘의 개발 필요 없이 HS의 성능을 증가시킬 수 있다는 점에서 의의가 있다고 판단된다. 또한 400개 이상의 결정변수를 가지는 대규모 문제의 적용을 통하여, 제안된 방법이 대규모 공학 최적화 문제에서도 활용이 가능함을 확인하였다.